Final answer:
The equation of the line that passes through the point (6,1) with a slope of -1/2 is y = -1/2x + 4.
Step-by-step explanation:
The equation of the line that passes through the point (6,1) with a slope of -1/2 can be found using the point-slope form of the equation of a line. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the given point and slope, we get y - 1 = -1/2(x - 6). Simplifying, we get y = -1/2x + 4 as the equation of the line.